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157038990 = 235191372011
BaseRepresentation
bin10010101110000…
…11100110001110
3101221111101222220
421113003212032
5310200221430
623325520210
73614544423
oct1127034616
9357441886
10157038990
118070a799
1244713066
13266c4aa4
1416bdbd4a
15dbc0110
hex95c398e

157038990 has 64 divisors (see below), whose sum is σ = 399824640. Its totient is φ = 39363840.

The previous prime is 157038983. The next prime is 157038991. The reversal of 157038990 is 99830751.

It is a happy number.

157038990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1570389902 = 49322488760440200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157038991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77085 + ... + 79095.

It is an arithmetic number, because the mean of its divisors is an integer number (6247260).

Almost surely, 2157038990 is an apocalyptic number.

157038990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157038990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199912320).

157038990 is an abundant number, since it is smaller than the sum of its proper divisors (242785650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157038990 is a wasteful number, since it uses less digits than its factorization.

157038990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177.

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 157038990 is about 12531.5198599372. The cubic root of 157038990 is about 539.5137254745.

The spelling of 157038990 in words is "one hundred fifty-seven million, thirty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 137 190 274 285 411 570 685 822 1370 2011 2055 2603 4022 4110 5206 6033 7809 10055 12066 13015 15618 20110 26030 30165 38209 39045 60330 76418 78090 114627 191045 229254 275507 382090 551014 573135 826521 1146270 1377535 1653042 2755070 4132605 5234633 8265210 10469266 15703899 26173165 31407798 52346330 78519495 157038990